MATH 4362 - Theory of Differential Equations and Nonlinear Dynamics - University of Houston
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MATH 4362 - Theory of Differential Equations and Nonlinear Dynamics

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisites: MATH 3331 or equivalent, and three additional hours of 3000-4000 level Mathematics.

Course Description: ODEs as models for systems in biology, physics, and elsewhere; existence and uniqueness of solutions; linear theory; stability of solutions; bifurcations in parameter space; applications to oscillators and classical mechanics.


(1) Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering | Edition: 2; Westview Press. Steven H. Strogatz. ISBN: 9780813349107

(2) Additional resources: Chaos in Dynamical Systems (Second Edition) by Edward Ott. ISBN: 978-0521010849


OverviewWe will study modern nonlinear dynamics. I will emphasize modeling in the physical and biological sciences.

Grading: Please consult your instructor's syllabus regarding any and all grading/assignment guidelines.

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